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From a sphere of mass M and radius R, a ...

From a sphere of mass M and radius R, a smaller sphere of radius `(R)/(2)` is carved out such that the cavity made in the original sphere is between its centre and the periphery (see figure. ) for the configuration in the figure where the distance between the centre of the original sphere and the removed sphere is 3R, the gravitational force between the two sphere is :
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